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What is the Least Common Multiple of 92042 and 92058?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 92042 and 92058 is 4236601218.

LCM(92042,92058) = 4236601218

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Least Common Multiple of 92042 and 92058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92042 and 92058, than apply into the LCM equation.

GCF(92042,92058) = 2
LCM(92042,92058) = ( 92042 × 92058) / 2
LCM(92042,92058) = 8473202436 / 2
LCM(92042,92058) = 4236601218

Least Common Multiple (LCM) of 92042 and 92058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92042 and 92058. First we will calculate the prime factors of 92042 and 92058.

Prime Factorization of 92042

Prime factors of 92042 are 2, 46021. Prime factorization of 92042 in exponential form is:

92042 = 21 × 460211

Prime Factorization of 92058

Prime factors of 92058 are 2, 3, 67, 229. Prime factorization of 92058 in exponential form is:

92058 = 21 × 31 × 671 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 92042 and 92058.

LCM(92042,92058) = 21 × 460211 × 31 × 671 × 2291
LCM(92042,92058) = 4236601218